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The effect on your AAoA will not result from the prior loan, but from the new loan.
Closed, paid accounts continue (at least under FICO scoring) to be included in your AAoA.
It is the addition of the new account with an initial age of zero that is impacting yur AAoA.
Closed accounts will reman in your report for approx ten years after closing date, when the CRA may delete as a housecleaning measure.
The peril with closed accounts, however, is that the creditor may decide to exercise their own housecleaing, and ddelte the account once it is closed.
That removes the account from any possible future disputes of anything reported under the account.